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The Morrison Cone Conjecture under Deformation

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arxiv 2410.05949 v2 pith:WC34KJYB submitted 2024-10-08 math.AG

Wendelin Lutz This is my paper · ORCID
classification math.AG
keywords coneconjecturemorrisoncalabi-yauholdsprovesmooththreefold
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abstract

We prove that if the Morrison cone conjecture holds for a smooth Calabi-Yau threefold $Y$, it holds for any smooth Calabi-Yau threefold deformation-equivalent to $Y$. We use this result to prove a new case of the Morrison cone conjecture.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Morrison-Kawamata dream space and its applications

    math.AG 2025-12 conditional novelty 7.0 of 10

    An axiomatic framework (MKD spaces) yields deformation-invariance of divisor cones and a conditional boundedness theorem for rationally connected Calabi–Yau varieties.

  2. On the boundedness of elliptic Calabi-Yau 4-folds

    math.AG 2026-07 accept novelty 6.0 of 10

    Elliptic Calabi–Yau 4-folds not crepant to a product quotient of a Calabi–Yau 3-fold times an elliptic curve form a bounded family.

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